Table 7: Summary of the fits to the scaling relations.
Relation Number of clusters B A Comments
M500-$T_{\rm h}$ 88 $1.54 \pm 0.06 $ $-0.112 \pm 0.014 $ ALL with $T_{\rm h}$
M500-$T_{\rm h}$ 47 $1.48 \pm 0.07 $ $-0.140 \pm 0.015 $ CCCs
M500-$T_{\rm h}$ 41 $1.57 \pm 0.17 $ $-0.088 \pm 0.031 $ NCCCs
M500-$T_{\rm h}$ 72 $1.30 \pm 0.18 $ $-0.069 \pm 0.025 $ $T_{\rm h}>3.0$ keV
M500-$T_{\rm h}$ 16 $0.91 \pm 0.31 $ $-0.46 \pm0.13$ $T_{\rm h}<3.0$ keV
$M_{\rm gas,500}$-$T_{\rm h}$ 88 $2.29 \pm 0.09 $ $-0.269 \pm 0.015 $ ALL with $T_{\rm h}$
$M_{\rm gas,500}$-$T_{\rm h}$ 47 $2.38 \pm 0.10 $ $-0.251 \pm 0.017 $ CCCs
$M_{\rm gas,500}$-$T_{\rm h}$ 41 $2.04 \pm 0.14 $ $-0.258 \pm 0.025 $ NCCCs
$M_{\rm gas,500}$-$T_{\rm h}$ 72 $1.89 \pm 0.10 $ $-0.221 \pm 0.017 $ $T_{\rm h}>3.0$ keV
$M_{\rm gas,500}$-$T_{\rm h}$ 35 $1.98 \pm 0.11 $ $-0.219 \pm 0.019 $ $T_{\rm h}>3.0$ keV, CCCs
$M_{\rm gas,500}$-$T_{\rm h}$ 37 $1.80 \pm 0.18 $ $-0.219 \pm 0.033 $ $T_{\rm h}>3.0$ keV, NCCCs
$M_{\rm gas,500}$-$T_{\rm m}$ 71 $1.70 \pm 0.06 $ $-0.184 \pm 0.015 $ ALL with $T_{\rm m}$
$M_{\rm gas,500}$-$T_{\rm m}$ 38 $1.73 \pm 0.07 $ $-0.166 \pm 0.022 $ CCCs
$M_{\rm gas,500}$-$T_{\rm m}$ 33 $1.71 \pm 0.11 $ $-0.207 \pm 0.025 $ NCCCs
$L_{\rm X}$-$T_{\rm h}$ 88 $2.73\pm0.13$ $0.363 \pm0.027$ ALL with $T_{\rm h}$
$L_{\rm X}$-$T_{\rm h}$ 47 $2.88 \pm0.15$ $0.492 \pm0.031$ CCCs
$L_{\rm X}$-$T_{\rm h}$ 41 $2.74 \pm0.17$ $0.227 \pm0.034$ NCCCs
$L_{\rm X}$-$T_{\rm h}$ 72 $2.88 \pm0.19$ $0.332 \pm0.034$ $T_{\rm h}>3.0$ keV
$L_{\rm X}$-$T_{\rm h}$ 35 $3.08 \pm0.24$ $0.457 \pm0.039$ $T_{\rm h}>3.0$ keV, CCCs
$L_{\rm X}$-$T_{\rm h}$ 37 $2.78 \pm0.22$ $0.213 \pm0.044$ $T_{\rm h}>3.0$ keV, NCCCs
$L_{\rm X}$-$T_{\rm m}$ 71 $2.23 \pm0.11$ $0.458 \pm0.032$ ALL with $T_{\rm m}$
$L_{\rm X}$-$T_{\rm m}$ 38 $2.31 \pm0.14$ $0.597 \pm0.040$ CCCs
$L_{\rm X}$-$T_{\rm m}$ 33 $2.33 \pm0.09$ $0.286 \pm0.031$ NCCCs
$L_{\rm X}$-M500 106 $1.82 \pm0.13$ $0.521 \pm0.039$ ALL
$L_{\rm X}$-M500 88 $1.77 \pm0.12$ $0.562 \pm0.041$ ALL with $T_{\rm h}$
$L_{\rm X}$-M500 47 $1.94 \pm0.15$ $0.763 \pm0.050$ CCCs
$L_{\rm X}$-M500 41 $1.75 \pm0.25$ $0.381 \pm0.062$ NCCCs
$L_{\rm X}$-M500 72 $2.23 \pm0.38$ $0.485 \pm0.053$ $T_{\rm h}>3.0$ keV
$L_{\rm X}$-M500 35 $3.05 \pm0.60$ $0.674 \pm0.074$ $T_{\rm h}>3.0$ keV, CCCs
$L_{\rm X}$-M500 37 $ 1.84 \pm0.42$ $0.350 \pm0.087$ $T_{\rm h}>3.0$ keV, NCCCs
$L_{\rm nir}$-$T_{\rm h}$ 58 $1.34 \pm0.09$ $0.586 \pm0.017$ ALL with $T_{\rm m}$
$L_{\rm nir}$-$T_{\rm h}$ 31 $1.17 \pm0.11$ $0.565 \pm0.017$ CCCs
$L_{\rm nir}$-$T_{\rm h}$ 27 $1.47 \pm0.15$ $0.593 \pm0.035$ NCCCs
$L_{\rm nir}$- $M_{\rm gas,500}$ 62 $0.702 \pm0.055 $ $0.741 \pm 0.016 $ ALL
$L_{\rm nir}$- $M_{\rm gas,500}$ 33 $0.604 \pm0.062 $ $0.686 \pm 0.018 $ CCCs
$L_{\rm nir}$- $M_{\rm gas,500}$ 29 $0.756 \pm0.080 $ $0.778 \pm 0.024 $ NCCCs
Note: The relations are given in the form: $\log_{10}\left({M_{500} \over 5\times 10^{14}~{M}_{\odot}}\right) = A + B\cdot \log_{10} \left({T \over 4~{\rm keV}}\right)$, $\log_{10}\left({M_{\rm gas,500} \over 10^{14}~{M}_{\odot}}\right) = A + B\cdot \log_{10} \left({T \over 4~{\rm keV}}\right)$, $\log_{10}\left({L_{\rm X} \over 10^{44}~{\rm erg/s}}\right) = A + B\cdot \log_{10} \left({T \over 4~{\rm keV}}\right)$, $\log_{10}\left({L_{\rm X} \over 10^{44}~{\rm erg/s}}\right) = A + B\cdot \log_{10} \left({M_{500} \over 5\times 10^{14}~{M}_{\odot}}\right)$, $\log_{10}\left({L_{\rm nir}}\right) = A + B\cdot \log_{10} \left({T \over 4~{\rm keV}}\right)$ and $\log_{10}\left({L_{\rm nir}}\right) = A + B\cdot \log_{10} \left({M_{\rm gas,500} \over 10^{14}~{M}_{\odot}}\right)$.

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